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Finding the Third Proportional to 207,015.75 and 443,542.50

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Solution

The third proportional to 207,015.75 and 443,542.50 is: 950,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,015.75 : 443,542.50 = 443,542.50 : x
  2. Step 2: Convert to fraction form
    207,015.75/443,542.50 = 443,542.50/x
  3. Step 3: Cross multiply
    207,015.75x = 443,542.50 × 443,542.50
  4. Step 4: Simplify right side
    207,015.75x = 196,729,949,306.25
  5. Step 5: Solve for x
    x = 196,729,949,306.25/207,015.75
  6. Step 6: Final answer
    x = 950,313.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.